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Finding the Fourth Proportional to 52,048.40, 77,957.40 and 42,832.40

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Solution

The fourth proportional to 52,048.40, 77,957.40 and 42,832.40 is: 64,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.40 : 77,957.40 = 42,832.40 : x
  2. Step 2: Convert to fraction form
    52,048.40/77,957.40 = 42,832.40/x
  3. Step 3: Cross multiply
    52,048.40x = 77,957.40 × 42,832.40
  4. Step 4: Simplify right side
    52,048.40x = 3,339,102,539.76
  5. Step 5: Solve for x
    x = 3,339,102,539.76/52,048.40
  6. Step 6: Final answer
    x = 64,153.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.